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If x^(2) + 4y^(2) =12 xy, then log (x+2y...

If `x^(2) + 4y^(2) =12 xy`, then log (x+2y) is equal to

A

`1/2 (log x + logy + 2 log2)`

B

`1/2 (log x + log y + 4 log2)`

C

`1/2(log x + log y - log 2)`

D

none of these

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The correct Answer is:
B
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ARIHANT SSC-LOGARITHM -INTRODUCTORY EXERCISE- 16.1
  1. if log(10)x = 1.9675, then the value of log(10)(100x) is:

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  2. If 5^(x) = (0.5)^(y) = 1000, then the value of (1/x - 1/y) is:

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  3. If 1/2 log x + 1/2 log y + log2 = log(x+y), then:

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  4. If p = log(3)5 and q= log(17) 25 which one of the following is correct...

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  5. If x^(2) + 4y^(2) =12 xy, then log (x+2y) is equal to

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  6. The value of (2^(log3^(7) - 7^(log (3)2))) is

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  7. 1/(log(2)a) + 1/(log(4)a) + 1/(log(8)a)+….. To n terms =(n(n+1))/k, th...

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  8. The value of (log tan 1^(@) + log tan 2^(@)+……. + log tan 89^(@)) is

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  9. The value of x for which log(9)x - log(9) (x/10 + 1/9) is:

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  10. If (x^(4) - 2x^(2)y^(2) + y^(4))^(a-1) =(x-y)^(2a) (x+y)^(-2), then th...

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  11. log(2)7 is:

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  12. log(y)x=?

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  13. The value of log(10)2 + 16 log(10)(16/15) + 12 log(10)(25/24) + 7 log(...

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  14. if log(10)x=a, log(10)y=b and log(10)z=c, then antilog (pa + qb - rc)=...

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  15. log(10) a^(p).b^(q).c^( r)=?

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  16. If a,b,c are in GP then log(10)a, log(10)b, log(10)c are in

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  17. If log(10)x, log(10)y, log(10)z are in AP, then x,y,z are in:

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  18. If a,b,c are in GP then 1/(log(a)x), 1/(log(b)x), 1/(log( c)x) are in:

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  19. if log(x-1) + log(x+1) = 3 log2, then x is equal to:

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  20. If a,b,c are three consecutive integers, then log(ac+1) has the value:

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